106
106

Jul 10, 2018
07/18

by
Landshoff, Peter, 1937-

texts

######
eye 106

######
favorite 0

######
comment 0

viii, 177 pages : 24 cm

Topics: Quantum theory, Quantum theory, Kwantummechanica, Quantum theory, Quantum theory

Source: removedNEL

1
1.0

Jun 30, 2018
06/18

by
Toshiyuki Kobayashi

texts

######
eye 1

######
favorite 0

######
comment 0

For a pair of reductive groups $G \supset G'$, we prove a geometric criterion for the space $Sh(\lambda, \nu)$ of Shintani functions to be finite-dimensional in the Archimedean case. This criterion leads us to a complete classification of the symmetric pairs $(G,G')$ having finite-dimensional Shintani spaces. A geometric criterion for uniform boundedness of $dim Sh(\lambda, \nu)$ is also obtained. Furthermore, we prove that symmetry breaking operators of the restriction of smooth admissible...

Topics: Mathematics, Number Theory, Representation Theory, Group Theory

Source: http://arxiv.org/abs/1401.0117

1
1.0

Jun 30, 2018
06/18

by
Ashvin Swaminathan

texts

######
eye 1

######
favorite 0

######
comment 0

The action of the absolute Galois group $\text{Gal}(K^{\text{ksep}}/K)$ of a global field $K$ on a tree $T(\phi, \alpha)$ of iterated preimages of $\alpha \in \mathbb{P}^1(K)$ under $\phi \in K(x)$ with $\text{deg}(\phi) \geq 2$ induces a homomorphism $\rho: \text{Gal}(K^{\text{ksep}}/K) \to \text{Aut}(T(\phi, \alpha))$, which is called an arboreal Galois representation. In this paper, we address a number of questions posed by Jones and Manes about the size of the group $G(\phi,\alpha) :=...

Topics: Mathematics, Number Theory, Representation Theory, Group Theory

Source: http://arxiv.org/abs/1407.7012

103
103

Feb 16, 2017
02/17

by
Vanden Eynden, Charles, 1936-

texts

######
eye 103

######
favorite 3

######
comment 0

Topics: Number theory, Number theory, Number theory

86
86

Jan 6, 2012
01/12

by
Haroutounian, Joanne; Neil A. Kjos Music Company

texts

######
eye 86

######
favorite 4

######
comment 0

Titles from covers of books

Topics: Music theory, Music theory, Music theory

3
3.0

Jun 28, 2018
06/18

by
Supriya Pisolkar; C. S. Rajan

texts

######
eye 3

######
favorite 0

######
comment 0

Let $G$ be a connected, absolutely almost simple, algebraic group defined over a finitely generated, infinite field $K$, and let $\Gamma$ be a Zariski dense subgroup of $G(K)$. We show, apart from some few exceptions, that the commensurability class of the field $\mathcal{F}$ given by the compositum of the splitting fields of characteristic polynomials of generic elements of $\Gamma$ determines the group $G$ upto isogeny over the algebraic closure of $K$.

Topics: Group Theory, Number Theory, Mathematics, Spectral Theory

Source: http://arxiv.org/abs/1508.01348

pte. 1. Teoria dei gruppi di sostituzioni -- pte. 2. Teoria delle equazioni algebriche secondo Galois

Topics: Group theory, Equations, Theory of, Galois theory

43
43

Jan 18, 2012
01/12

by
Murphy, Stuart J., 1942-; Remkiewicz, Frank, illustrator

texts

######
eye 43

######
favorite 2

######
comment 0

"Sets, level 1."

Topics: Set theory, Set theory, Set theory

0
0.0

Jun 30, 2018
06/18

by
Yury A. Neretin

texts

######
eye 0

######
favorite 0

######
comment 0

We extend the Weil representation of infinite-dimensional symplectic group to a representation a certain category of linear relations.

Topics: Group Theory, Category Theory, Representation Theory, Mathematics

Source: http://arxiv.org/abs/1703.07238

1
1.0

Jun 30, 2018
06/18

by
Anton Lyubinin

texts

######
eye 1

######
favorite 0

######
comment 0

The topic of this paper is a generalization of Tannaka duality to coclosed categories. As an application we prove reconstruction theorems for coalgebras (and bialgebras) in categories of topological vector spaces over a nonarchimedean field K. In particular, our results imply reconstruction and recognition theorems for categories of locally analytic representations of compact $p$-adic groups. Also, as an example, we discuss a certain (trivial) extension of the geometric Satake correspondence.

Topics: Mathematics, Category Theory, Number Theory, Representation Theory

Source: http://arxiv.org/abs/1411.3183

35
35

Sep 7, 2012
09/12

by
Murphy, Stuart J., 1942-; Schindler, S. D., illustrator

texts

######
eye 35

######
favorite 1

######
comment 0

"Level 3, estimating."

Topics: Estimation theory, Estimation theory, Arithmetic, Estimation theory

6
6.0

Jun 28, 2018
06/18

by
Duong Hoang Dung

texts

######
eye 6

######
favorite 0

######
comment 0

We present a conjectured formula for the representation zeta function of the Heisenberg group over $\mathcal{O}[x]/(x^n)$ where $\mathcal{O}$ is the ring of integers of some number field. We confirm the conjecture for $n\leq 3$ and raise several questions.

Topics: Group Theory, Number Theory, Mathematics, Representation Theory

Source: http://arxiv.org/abs/1508.03507

1
1.0

Jun 29, 2018
06/18

by
Aaron Landesman; Ashvin Swaminathan; James Tao; Yujie Xu

texts

######
eye 1

######
favorite 0

######
comment 0

For a positive integer $g$, let $\mathrm{Sp}_{2g}(R)$ denote the group of $2g \times 2g$ symplectic matrices over a ring $R$. Assume $g \ge 2$. For a prime number $\ell$, we give a self-contained proof that any closed subgroup of $\mathrm{Sp}_{2g}(\mathbb{Z}_\ell)$ which surjects onto $\mathrm{Sp}_{2g}(\mathbb{Z}/\ell\mathbb{Z})$ must in fact equal all of $\mathrm{Sp}_{2g}(\mathbb{Z}_\ell)$. The result and the method of proof are both motivated by group-theoretic considerations that arise in...

Topics: Number Theory, Group Theory, Representation Theory, Mathematics

Source: http://arxiv.org/abs/1607.04698

1
1.0

Jun 28, 2018
06/18

by
Frank Lübeck; Robert Guralnick; Jun Yu

texts

######
eye 1

######
favorite 0

######
comment 0

We prove the existence of certain rationally rigid triples in F_4(p) for good primes p (i.e., p>3), thereby showing that these groups occur as regular Galois groups over Q(t) and so also over Q. We show that these triples give rise to rigid triples in the algebraic group and prove that they generate an interesting subgroup in characteristic 0.

Topics: Group Theory, Representation Theory, Number Theory, Mathematics

Source: http://arxiv.org/abs/1511.06871

2
2.0

Jun 30, 2018
06/18

by
Ori Parzanchevski; Peter Sarnak

texts

######
eye 2

######
favorite 0

######
comment 0

To each of the symmetry groups of the Platonic solids we adjoin a carefully designed involution yielding topological generators of PU(2) which have optimal covering properties as well as efficient navigation. These are a consequence of optimal strong approximation for integral quadratic forms associated with certain special quaternion algebras and their arithmetic groups. The generators give super efficient 1-qubit quantum gates and are natural building blocks for the design of universal...

Topics: Group Theory, Spectral Theory, Number Theory, Mathematics

Source: http://arxiv.org/abs/1704.02106

11
11

Jun 26, 2018
06/18

by
Dipendra Prasad

texts

######
eye 11

######
favorite 0

######
comment 0

These are the notes for some lectures given by this author at Harish-Chandra Research Institute, Allahabad in March 2014 for a workshop on Schur multipliers. The lectures aimed at giving an overview of the subject with emphasis on groups of Lie type over finite, real and $p$-adic fields.

Topics: Mathematics, Representation Theory, Number Theory, Group Theory

Source: http://arxiv.org/abs/1502.02140

8
8.0

Jun 27, 2018
06/18

by
Tobias Finis; Erez Lapid

texts

######
eye 8

######
favorite 0

######
comment 0

This is a sequel to arXiv:1308.3604. We study applications to limit multiplicity generalizing the results of arXiv:1208.2257.

Topics: Spectral Theory, Representation Theory, Mathematics, Number Theory

Source: http://arxiv.org/abs/1504.04795

1
1.0

Jun 30, 2018
06/18

by
Robert Guralnick; Florian Herzig; Pham Huu Tiep

texts

######
eye 1

######
favorite 0

######
comment 0

The notion of adequate subgroups was introduced by Jack Thorne [59]. It is a weakening of the notion of big subgroups used by Wiles and Taylor in proving automorphy lifting theorems for certain Galois representations. Using this idea, Thorne was able to strengthen many automorphy lifting theorems. It was shown in [22] and [23] that if the dimension is smaller than the characteristic then almost all absolutely irreducible representations are adequate. We extend the results by considering all...

Topics: Mathematics, Number Theory, Representation Theory, Group Theory

Source: http://arxiv.org/abs/1405.0043

0
0.0

Jun 29, 2018
06/18

by
Jesús Ibarra; Alberto G. Raggi-Cárdenas; Nadia Romero

texts

######
eye 0

######
favorite 0

######
comment 0

Let $R$ be a commutative unital ring. We construct a category $\mathcal{C}_R$ of fractions $X/G$, where $G$ is a finite group and $X$ is a finite $G$-set, and with morphisms given by $R$-linear combinations of spans of bisets. This category is an additive, symmetric monoidal and self-dual category, with a Krull-Schmidt decomposition for objects. We show that $\mathcal{C}_R$ is equivalent to the additive completion of the biset category and that the category of biset functors over $R$ is...

Topics: Category Theory, Group Theory, Representation Theory, Mathematics

Source: http://arxiv.org/abs/1610.00808

0
0.0

Jun 29, 2018
06/18

by
Gaëtan Chenevier

texts

######
eye 0

######
favorite 0

######
comment 0

As is well-known, the compact groups Spin(7) and SO(7) both have a single conjugacy class of compact subgroups of exceptional type G_2. We first show that if H is a subgroup of Spin(7), and if each element of H is conjugate to some element of G_2, then H itself is conjugate to a subgroup of G_2. The analogous statement for SO(7) turns out be false, and our main result is a classification of all the exceptions. They are the following groups, embedded in each case in SO(7) in a very specific way:...

Topics: Number Theory, Group Theory, Representation Theory, Mathematics

Source: http://arxiv.org/abs/1606.02991

4
4.0

Jun 26, 2018
06/18

by
Wei Wang

texts

######
eye 4

######
favorite 0

######
comment 0

To $2$-categorify the theory of group representations, we introduce the notions of the $3$-representation of a group in a strict $3$-category and the strict $2$-categorical action of a group on a strict $2$-category. We also $2$-categorify the concept of the trace by introducing the $2$-categorical trace of a $1$-endomorphism in a strict $3$-category. For a $3$-representation $\rho$ of a group $G$ and an element $f$ of $G$, the $2$-categorical trace $\mathbb{T}r_2 \rho_f $ is a category....

Topics: Category Theory, Mathematics, Representation Theory, Group Theory

Source: http://arxiv.org/abs/1502.04191

1
1.0

Jun 30, 2018
06/18

by
Georg Tamme

texts

######
eye 1

######
favorite 0

######
comment 0

We prove a comparison theorem between locally analytic group cohomology and Lie algebra cohomology for locally analytic representations of a Lie group over a nonarchimedean field of characteristic 0. The proof is similar to that of van-Est's isomorphism and uses only a minimum of functional analysis.

Topics: Mathematics, Number Theory, Representation Theory, Group Theory

Source: http://arxiv.org/abs/1408.4301

20
20

Jul 17, 2019
07/19

by
Meijer, Paul Herman Ernst, 1921-

texts

######
eye 20

######
favorite 0

######
comment 0

xi, 288 p. : 24 cm

Topics: Group theory, Quantum theory

19
19

Jan 15, 2018
01/18

by
Daniel Ellsberg

texts

######
eye 19

######
favorite 0

######
comment 0

Research notes on decision theory, research conducted during writing of PhD thesis Risk, Ambiguity, and Decision.

Topics: decision theory, game theory

Galois Connections and Applications Author: K. Denecke, M. Erné, S. L. Wismath Published by Springer Netherlands ISBN: 978-90-481-6540-7 DOI: 10.1007/978-1-4020-1898-5 Table of Contents: Adjunctions and Galois Connections: Origins, History and Development Categorical Galois Theory: Revision and Some Recent Developments The Polarity between Approximation and Distribution Galois Connections and Complete Sublattices Galois Connections for Operations and Relations Galois Connections and Polynomial...

Topics: Galois theory, Galois theory

83
83

Mar 31, 2016
03/16

by
Merritt, Thomas Parker, 1914-

texts

######
eye 83

######
favorite 0

######
comment 0

Topics: Lattice theory, Quantum theory

Includes bibliographical references

Topics: Ramsey theory, Graph theory

7
7.0

Jan 16, 2018
01/18

by
Daniel Ellsberg

texts

######
eye 7

######
favorite 0

######
comment 0

Notes taken during Ellsberg's time studying economics and systems theory at Harvard.

Topics: decision theory, game theory

63
63

Nov 22, 2015
11/15

by
A. D. Godase

texts

######
eye 63

######
favorite 0

######
comment 0

Unit subgraph of some finite Groups are represented.

Topics: Group theory, Graph theory

3
3.0

Feb 6, 2020
02/20

by
Kramers, Hendrik Anthony, 1894-1952

texts

######
eye 3

######
favorite 0

######
comment 0

xvi, 496 pages ; 21 cm

Topics: Quantum theory, Quantum theory

19
19

Jul 17, 2019
07/19

by
Born, Max, 1882-1970

texts

######
eye 19

######
favorite 0

######
comment 0

xiv, 200 p. : 21 cm. --

Topics: Lattice theory, Quantum theory

14

Topics: Atomic theory, Molecular theory

Habilitationschrift--Marburg

Topics: Number theory, Galois theory

Includes bibliographical references

Topics: Molecular theory, Atomic theory

Indian Academy of Sciences

867
867

Sep 4, 2018
09/18

by
Shailesh Shirali (editor); Yogananda, C. S. (editor)

texts

######
eye 867

######
favorite 4

######
comment 0

x, 102 pages : 24 cm

Topics: Number theory, Number theory

29
29

Jan 15, 2018
01/18

by
Daniel Ellsberg

texts

######
eye 29

######
favorite 0

######
comment 0

Papers, notes, and work composed during the course of Ellsberg's studies on Decision Theory in Harvard's Economics department.

Topics: decision theory, game theory

Includes bibliographical references

Topics: Ramsey theory, Graph theory

147
147

Feb 3, 2016
02/16

by
Listenius, Nicolaus, active 16th century, author

texts

######
eye 147

######
favorite 0

######
comment 0

Topics: Music theory, Music theory

Bibliography: p. 16

Topics: Graph theory, Ramsey theory

1
1.0

Feb 4, 2020
02/20

by
Hillman, Eugene

texts

######
eye 1

######
favorite 0

######
comment 0

144 pages ; 21 cm

Topics: Missions -- Theory, Missions -- Theory

13
13

Sep 6, 2019
09/19

by
Buni͡akovskiĭ, Viktor I͡Akovlevich, 1804-1889; André Savine Collection (University of North Carolina at Chapel Hill)

texts

######
eye 13

######
favorite 0

######
comment 0

41 pages, 1 leaf of plates : 24 cm

Topics: Approximation theory, Summability theory

11
11

Jul 9, 2019
07/19

by
Humphreys, J. F

texts

######
eye 11

######
favorite 0

######
comment 0

xvi, 288 p. : 24 cm

Topics: Group theory, Number theory

Source: removedNEL

35
35

Aug 8, 2019
08/19

by
Jones, Gareth A

texts

######
eye 35

######
favorite 1

######
comment 0

xiii, 210 p. : 24 cm

Topics: Coding theory, Information theory

829
829

Jan 30, 2008
01/08

by
Coelingh, Derk, 1861-

texts

######
eye 829

######
favorite 0

######
comment 0

Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.

Topics: Group theory, Galois theory

Source: http://books.google.com/books?id=sVo4AAAAMAAJ&oe=UTF-8

48
48

Jul 27, 2019
07/19

by
Migdal, A. B. (Arkadiĭ Beĭnusovich), 1911-

texts

######
eye 48

######
favorite 0

######
comment 0

vi, 144 p. 23 cm

Topics: Approximation theory, Quantum theory

372
372

Jun 10, 2016
06/16

by
Jaworski, John, 1945-; Open University; British Broadcasting Corporation. Television Service; Media Guild

movies

######
eye 372

######
favorite 3

######
comment 0

Produced by the BBC for the British Open University

Topics: Group theory, Group theory

Vita

Topics: Graph theory, Machine theory

73
73

Sep 24, 2010
09/10

by
Whitney, David C; Forde, Tony, illus

texts

######
eye 73

######
favorite 0

######
comment 0

Explains in text and diagrams the concept of sets in mathematics

Topics: Set theory, Set theory

7
7.0

Jan 15, 2018
01/18

by
Daniel Ellsberg

texts

######
eye 7

######
favorite 0

######
comment 0

Draft notes taken during the writing of thesis Risk, Ambiguity, and Decision.

Topics: decision theory, game theory

20
20

Jul 2, 2019
07/19

by
Grossman, Israel, 1909-

texts

######
eye 20

######
favorite 1

######
comment 0

vii, 195 p. : 23 cm

Topics: Graph theory, Group theory